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Simplifying (7x + -27) + (4x + 12) = 180 Reorder the terms: (-27 + 7x) + (4x + 12) = 180 Remove parenthesis around (-27 + 7x) -27 + 7x + (4x + 12) = 180 Reorder the terms: -27 + 7x + (12 + 4x) = 180 Remove parenthesis around (12 + 4x) -27 + 7x + 12 + 4x = 180 Reorder the terms: -27 + 12 + 7x + 4x = 180 Combine like terms: -27 + 12 = -15 -15 + 7x + 4x = 180 Combine like terms: 7x + 4x = 11x -15 + 11x = 180 Solving -15 + 11x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 11x = 180 + 15 Combine like terms: -15 + 15 = 0 0 + 11x = 180 + 15 11x = 180 + 15 Combine like terms: 180 + 15 = 195 11x = 195 Divide each side by '11'. x = 17.72727273 Simplifying x = 17.72727273
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